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Finding the Third Proportional to 110,433 and 174,939

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Solution

The third proportional to 110,433 and 174,939 is: 277,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,433 : 174,939 = 174,939 : x
  2. Step 2: Convert to fraction form
    110,433/174,939 = 174,939/x
  3. Step 3: Cross multiply
    110,433x = 174,939 × 174,939
  4. Step 4: Simplify right side
    110,433x = 30,603,653,721
  5. Step 5: Solve for x
    x = 30,603,653,721/110,433
  6. Step 6: Final answer
    x = 277,124.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.